4. If two perpendicular sides of a right
angled triangle are 6 cm and 8 cm, its
perimeter is
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Answer:
Let the third side(hypotenuse) be x
Using Pythagoras theorem,
(8)²+(6)²=x²
64+36=x²
100=x²
10=x
Therefore the length of the third side is 10 cm.
U can use this shortcut
(3,4,5) is a Pythagorean triplet
Multiply 2 to it
So (6,8,10) is a also a Pythagorean triplet,
Which means the third side is 10cm.
★ Now perimeter of right angled ∆ = AB + BC + AC
=> 8 + 6 + 10
=> 24 cm
Hence, the perimeter of right angled ∆ is 24 cm.
Step-by-step explanation:
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